My Great Grandma used to sing this song to me and I would dearly love to find the lyrics. She sang it something like this:

In China there lived a China man, his name was Ching-a-rie-Ching-a-rie Chan,
His legs were long and his feet were small, this ChinaMan couldn't walk at all...singing,
Ching-a-rie, ching-a-rie Chan, riddle me this and (?)...
Scallopy, wallopy chinaco

See why I need the lyrics, my memory fails me